Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set: 38

Answer

$\log_a x+2\log_ay-3\log_az$

Work Step by Step

Using the properties of logarithms, the given expression, $\log_a(xy^2z^{-3}) ,$ is equivalent to \begin{array}{l}\require{cancel} \log_a x+\log_ay^2+\log_az^{-3} \\\\= \log_a x+2\log_ay-3\log_az .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.